Content: Volume

Functions
template<int N, typename T >
T	computeVolume (const ads::FixedArray< N, T > &a, const ads::FixedArray< N, T > &b, const ads::FixedArray< N, T > &c, const ads::FixedArray< N, T > &d)
	Return the volume of the tetrahedron with points a, b, c and d.
template<int N, typename T >
T	computeVolume (const ads::FixedArray< 4, ads::FixedArray< N, T > > &p)
	Return the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].
template<int N, typename T >
T	computeContent (const ads::FixedArray< N, T > &a, const ads::FixedArray< N, T > &b, const ads::FixedArray< N, T > &c, const ads::FixedArray< N, T > &d)
	Return the volume of the tetrahedron with points a, b, c and d.
template<int N, typename T >
T	computeContent (const ads::FixedArray< 4, ads::FixedArray< N, T > > &p)
	Return the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].
template<typename T >
void	computeGradientOfVolume (const ads::FixedArray< 3, T > &a, const ads::FixedArray< 3, T > &b, const ads::FixedArray< 3, T > &c, const ads::FixedArray< 3, T > &d, ads::FixedArray< 3, T > *gradient)
	Calculate the gradient (with respect to a) of the volume of the tetrahedron with points a, b, c and d.
template<int N, typename T >
void	computeGradientOfVolume (const ads::FixedArray< 4, ads::FixedArray< N, T > > &p, ads::FixedArray< N, T > *gradient)
	Calculate the gradient (with respect to a) of the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].
template<int N, typename T >
void	computeGradientOfContent (const ads::FixedArray< N, T > &a, const ads::FixedArray< N, T > &b, const ads::FixedArray< N, T > &c, const ads::FixedArray< N, T > &d, ads::FixedArray< N, T > *gradient)
	Calculate the gradient (with respect to a) of the volume of the tetrahedron with points a, b, c and d.
template<int N, typename T >
void	computeGradientOfContent (const ads::FixedArray< 4, ads::FixedArray< N, T > > &p, ads::FixedArray< N, T > *gradient)
	Calculate the gradient (with respect to a) of the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].

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Detailed Description

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Function Documentation

template<int N, typename T >

T computeContent

(

const ads::FixedArray< 4, ads::FixedArray< N, T > > &

p

)

[inline]

Return the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].

In 3-D the volume is signed. In N-D the volume is unsigned for N > 3.

This is simply a wrapper for computeVolume().

References computeVolume().

template<int N, typename T >

T computeContent	(	const ads::FixedArray< N, T > &	a,
		const ads::FixedArray< N, T > &	b,
		const ads::FixedArray< N, T > &	c,
		const ads::FixedArray< N, T > &	d
	)			[inline]

Return the volume of the tetrahedron with points a, b, c and d.

In 3-D the volume is signed. In N-D the volume is unsigned for N > 3.

This is simply a wrapper for computeVolume().

References computeVolume().

template<int N, typename T >

void computeGradientOfContent	(	const ads::FixedArray< 4, ads::FixedArray< N, T > > &	p,
		ads::FixedArray< N, T > *	gradient
	)			[inline]

Calculate the gradient (with respect to a) of the volume of the tetrahedron with points p[0], p[1], p[2] and p[3].

This is simply a wrapper for computeGradientOfVolume().

References computeGradientOfVolume().

template<int N, typename T >

void computeGradientOfContent	(	const ads::FixedArray< N, T > &	a,
		const ads::FixedArray< N, T > &	b,
		const ads::FixedArray< N, T > &	c,
		const ads::FixedArray< N, T > &	d,
		ads::FixedArray< N, T > *	gradient
	)			[inline]

Calculate the gradient (with respect to a) of the volume of the tetrahedron with points a, b, c and d.

This is simply a wrapper for computeGradientOfVolume().

References computeGradientOfVolume().

template<int N, typename T >

T computeVolume	(	const ads::FixedArray< N, T > &	a,
		const ads::FixedArray< N, T > &	b,
		const ads::FixedArray< N, T > &	c,
		const ads::FixedArray< N, T > &	d
	)			[inline]

Return the volume of the tetrahedron with points a, b, c and d.

In 3-D the volume is signed. In N-D the volume is unsigned for N > 3.

Referenced by computeContent().